If $x^{n} - 1$ is divisible by $x - k$ , then the least positive integral value of $k$ is

1

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Solution

The correct option is A $1$
if $f (x) = x^{n} - 1$ is divisible by $x - k$
Then $f (k) = 0$
Therefore, $k^{n} = 1$
and thus least positive integral value of k is 1

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